Y University received a contribution to its endowment fund of $ 5 million. It can never touch the principal but can use the earnings. At an interest rate of 5 percent, how much can the college earn to help its operations each year?
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- Comprehensive The following are three independent situations: 1. K. Herrmann has decided to set up a scholarship fund for students. She is willing to deposit 5,000 in a trust fund at the end of each year for 10 years. She wants the trust fund to then pay annual scholarships at the end of each year for 30 years. 2. Charles Jordy is planning to save for his retirement. He has decided that he can save 3,000 at the end of each year for the next 10 years, 5,000 at the end of each year for Years 11 through 20, and 10,000 at the end of each year for Years 21 through 30. 3. Patricia Karpas has 200,000 in savings on the day she retires. She intends to spend 2,000 per month traveling around the world for the next 2 years, during which time her savings will earn 18%, compounded monthly. For the next 5 years, she intends to spend 6,000 every 6 months, during which time her savings will earn 12%, compounded semiannually. For the rest of her life expectancy of 15 years, she wants an annuity to cover her living costs. During this period, her savings will earn 10% compounded annually. Assume that all payments occur at the end of each period. Required: 1. In Situation 1, how much will the annual scholarships be if the fund can earn 6%? How much at 10%? 2. In Situation 2, (a) How much will Charles have at the end of 30 years if his savings can earn 10%? How much at 6%? (b) If Charles expects to live for 20 years in retirement, how much can he withdraw from his savings at the end of each year if his savings earn 10%? How much at 6%? (c) How much would Charles need to invest today to have the same amount available at the time he retires as calculated in Situation 2(a) at 10%? How much at 6%? 3. In Situation 3, how much will Patricias annuity be?A college received a contribution to its endowment fund of $2 million. It can never touch the principal but can use the earnings. At an assumed interest rate of 9.5 percent, how much can the college earn to help its operations each year?(1) Five years ago, an alumnus of a university donated $55,996.8 to establish a permanent endowment for scholarships. The first scholarships were awarded 1 year after the contribution. If the amount awarded each year, that is, the interest on the endowment, is $4,017.55, the rate of return earned on the fund is closest to: (2) For the nonconventional net cash flow series shown, the external rate of return per year using the MIRR method, with an investment rate of 20% per year and a borrowing rate of 8% per year, is closest to: Year 0 1 2 3 4 NCF, $ −40,000 +16,767 −29,000 +25,000 +53,519 According to Descartes’ rule of signs, the possible number of rate of return values for the net cash flow series ++++−−−−−−+−+−−−++ is: 6 7 4 8
- You decided to fund a charity for ten years. The first payment will be made one year from today (at the end of year one) and will be $8,350. Each year after that, the charity will receive payment from you annually. The payment will increase at a rate of 2% per year after the second payment. If the annual interest rate is 15%, what is the present value of this endowment? no excel and calculations pleaseIf the university’s College of Engineering can earn 5% on its investments, how much should be in its savings account to fund one $10,000 scholarship each year for 4 years?Beginning next year, a foundation will support an annual seminar on campusby using the interest earnings on a $100,000 gift it received this year. It is determined that 6% interest will be realized for the first 10 years, but that plans should be made to anticipate an interest rate of only 4% after that time. What amount should be added to the foundation now in order to fund the seminar at a level of $10,000 per year into infinity?
- A donor gives $100,000 to a university, and specifies that it is to be used to give annual scholarships for the next 20 years. If the university can earn 4% interest, how much can they give in scholarships each year?The University is given a gift of $500000 for the construction of a School of Management building. The University invests the gift into an account for future use. The University receives 8.00% on the money for 7 years then the rate drops to 6.40%. If the building is constructed 23 years after the gift was received, how much is in the fund at that time? S Do not use dollar signs or commas in your answer. Include two decimals. in your answer.Northeastern costs approximately $50,000 per year for a four-year program, whether completed in four years or five. Assume that a student’s parents realized 15 years ago that college was going to cost $50,000 per year for four years, and wondered how much they would have to save each year to have the money to pay for the student’s education. The assumption is that payments are made into the college fund each year (as an ordinary annuity), and payments are withdrawn from the fund at the end of the relevant years.The key information for this scenario is as follows: The number of years of contributions is 18. Assume for simplicity that the college payments will be made at the end of years 15, 16, 17, and 18, that is just after each deposit in those years. The interest rate is 10 percent. College costs are $50,000 per year, and are assumed to be the same for each of the four years. Using the key information for the scenario above, how much would the parents have to save each year for…
- A donor established a new scholarship that will pay $5,000 every 6 months to a deserving Kelley student. The scholarship will be awarded for the first time in November of 2021 (12 months from today). The donor decides that the scholarship should be provided in perpetuity. The IU Foundation manages investments like this for the Business School. The Foundation anticipates earning an APR of 8% per year on the invested funds, compounded monthly. What is the amount of the donation that must be given to the IU Foundation today to fully endow this Kelley scholarship?An endowment fund is to provide an annual scholarship of P4,000 for first 5 yrs, P6,00 for the next 5 yrs, and P9,000 thereafter the fund will be established 1 yr before the first scholarship is awarded. If the fund earns 12% interest, what sum must be deposited?A fund is to be donated by a wealthy man to provide annual scholarships to deserving students. The fund will grant P50,000 for each year for the first 5 years at 8% compounded monthly, P80,000 for each year for the next 5 years at 8% compounded quarterly, and P100,000 each year thereafter at 8% compounded semi-annually interest,. The scholarship will start one year after the fund is established. What is the amount of the donation?
